# Evaluate (1/4)÷(4/7)+20*1/16 14÷47+20⋅116
Simplify each term.
To divide by a fraction, multiply by its reciprocal.
14⋅74+20⋅116
Multiply 14⋅74.
Multiply 14 and 74.
74⋅4+20⋅116
Multiply 4 by 4.
716+20⋅116
716+20⋅116
Cancel the common factor of 4.
Factor 4 out of 20.
716+4(5)⋅116
Factor 4 out of 16.
716+4⋅5⋅14⋅4
Cancel the common factor.
716+4⋅5⋅14⋅4
Rewrite the expression.
716+5⋅14
716+5⋅14
Combine 5 and 14.
716+54
716+54
To write 54 as a fraction with a common denominator, multiply by 44.
716+54⋅44
Write each expression with a common denominator of 16, by multiplying each by an appropriate factor of 1.
Multiply 54 and 44.
716+5⋅44⋅4
Multiply 4 by 4.
716+5⋅416
716+5⋅416
Combine the numerators over the common denominator.
7+5⋅416
Simplify the numerator.
Multiply 5 by 4.
7+2016
Add 7 and 20.
2716
2716
The result can be shown in multiple forms.
Exact Form:
2716
Decimal Form:
1.6875
Mixed Number Form:
11116
Evaluate (1/4)÷(4/7)+20*1/16

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